{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:18:11Z","timestamp":1759335491347},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2-4","license":[{"start":{"date-parts":[[1994,6,1]],"date-time":"1994-06-01T00:00:00Z","timestamp":770428800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[1994,6]]},"DOI":"10.1007\/bf02986684","type":"journal-article","created":{"date-parts":[[2008,11,12]],"date-time":"2008-11-12T20:52:30Z","timestamp":1226523150000},"page":"337-352","source":"Crossref","is-referenced-by-count":4,"title":["On Edge Semi-Isomorphisms and Semi-Dualities of Graphs"],"prefix":"10.1007","volume":"10","author":[{"given":"A. K.","family":"Kelmans","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02986684_CR1","first-page":"222","volume":"33","author":"D Barnette","year":"1982","unstructured":"Barnette, D.: Generating the triangulations of the projective plane, J. Comb. Theory 33,222\u2013230(1982)","journal-title":"Theory"},{"key":"BF02986684_CR2","unstructured":"Berge, Theory of Graphs and its applications, Methuen London, 1962"},{"key":"BF02986684_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-349-03521-2","volume-title":"Graph theory and applications","author":"J.A Bondy","year":"1976","unstructured":"Bondy, J.A., Murty, U.S.R.: Graph theory and applications, MacMillan Co, London, 1976"},{"key":"BF02986684_CR4","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1112\/jlms\/s1-42.1.254","volume":"42","author":"R. Halin","year":"1967","unstructured":"Halin, R., Jung, H.A.: Note on isomorphism of grahs, J. London Math. Soc. 42, 254\u2013256 (1967)","journal-title":"London Math. Soc"},{"issue":"(4)","key":"BF02986684_CR5","first-page":"373","volume":"2","author":"R.L. Hemminger","year":"1982","unstructured":"Hemminger, R.L., Jung, H.A., Kelmans, A.K.: 3-skein isomorphism of graphs, Combinatorica 2(4), 373\u2013376 (1982)","journal-title":"Combinatorica"},{"key":"BF02986684_CR6","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0095-8956(82)90027-2","volume":"32","author":"R.L. Hemminger","year":"1982","unstructured":"Hemminger, R.L., Jung, H.A.: On n-skein isomorphism of graphs, J. Comb. Theory 32,103\u2013111(1982)","journal-title":"Comb. Theory"},{"key":"BF02986684_CR7","first-page":"347","volume":"36","author":"R.L. Hemminger","year":"1982","unstructured":"Hemminger, R.L., Jung, H.A.: On 3-skein injection of graphs, Congressus Numerantium 36,347\u2013350(1982)","journal-title":"Congressus Numerantium"},{"key":"BF02986684_CR8","unstructured":"Kelmans, A.K.: A concept of a vertex in a matroid, the non-separating circuits of a graph and a new criterion for graph planarity, in: Algebraic methods in graph theory (Szeged, Hungary, (1978) Amsterdam, Budapest (1981) 345\u2013387"},{"key":"BF02986684_CR9","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1002\/jgt.3190040103","volume":"4","author":"A.K Kelmans","year":"1980","unstructured":"Kelmans, A.K.: The concept of a vertex in a matroid and 3-connected graphs, J. Graph Theory 4, 13\u201319(1980)","journal-title":"Graph Theory"},{"key":"BF02986684_CR10","unstructured":"Kelmans, A.K.: 3-skeins in a 3-connected graph, in: Vsesouznoe soveschanie po statisticheskomu i diskretnomu analizu, Kazanskiy gos. Universitet, Moskva-Alma-Ata (1981) (in Russian)"},{"key":"BF02986684_CR11","unstructured":"Kelmans, A.K.: On edge maps of graphs preserving the subgraphs of a given type, in: Modely i algoritmy issledovaniya operaciy i ih primenenie organizacii raboty v vychiclitenyh systemah, Yaroslavskiy gos. Universitet, Yaroslavl (1984) 19\u201330"},{"issue":"(6)","key":"BF02986684_CR12","first-page":"2998","volume":"274","author":"A.K Kelmans","year":"1984","unstructured":"Kelmans, A.K.: On homeomorphic imbedding of graphs with given properties, Doklady AN SSSR 274(6), 2998\u20133003 (1984)","journal-title":"On homeomorphic imbedding of graphs with given properties, Doklady AN SSSR"},{"issue":"(3)","key":"BF02986684_CR13","first-page":"698","volume":"288","author":"A.K Kelmans","year":"1986","unstructured":"Kelmans, A.K.: On 3-connected graphs without essential 3-cuts or triangles, Doklady AN SSSR 288(3), 698\u2013703 (1986)","journal-title":"On 3-connected graphs without essential 3-cuts or triangles, Doklady AN SSSR"},{"key":"BF02986684_CR14","first-page":"265","volume":"22","author":"A.K Kelmans","year":"1987","unstructured":"Kelmans, A.K.: On 3-skeins in a 3-connected graphs, Studia Scientiarum Mathematicarum Hungarica 22, 265\u2013273 (1987)","journal-title":"On 3-skeins in a 3-connected graphs, Studia Scientiarum Mathematicarum Hungarica"},{"key":"BF02986684_CR15","first-page":"13","volume":"64","author":"A.K Kelmans","year":"1987","unstructured":"Kelmans, A.K.: A short proof and a strengthening of the Whitney 2-isomorphism theorem on graphs, Discrete Math. 64, 13\u201325 (1987)","journal-title":"A short proof and a strengthening of the Whitney 2-isomorphism theorem on graphs, Discrete Math"},{"issue":"(5)","key":"BF02986684_CR16","first-page":"199","volume":"43","author":"A.K Kelmans","year":"1988","unstructured":"Kelmans, A.K.: Matroids and Whitney\u2019s theorems on 2-is\u00f6morphism and planarity of graphs, Uspehi Mat. Nauk 43(5), 199\u2013200 (1988) (in Russian)","journal-title":"Nauk"},{"key":"BF02986684_CR17","unstructured":"Kelmans, A.K.: On edge semi-isomorphism and semi-dualities of graphs, RUTCOR Research Report 59-90, Rutgers University (1990) 1\u201315"},{"key":"BF02986684_CR18","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0095-8956(77)90001-6","volume":"22","author":"J.H. Sanders","year":"1977","unstructured":"Sanders, J.H., Sanders, D.: Circuit preserving edge maps, J. Comb. Theory (B) 22, 91\u201396(1977)","journal-title":"Comb. Theory"},{"key":"BF02986684_CR19","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1002\/jgt.3190040106","volume":"4","author":"K Truemper","year":"1980","unstructured":"Truemper, K.: On Whitney\u2019s 2-isomorphism theorem for graphs, J. Graph Theory 4, 43\u201349 (1980)","journal-title":"Graph Theory"},{"key":"BF02986684_CR20","volume-title":"Matroid theory","author":"D Welsh","year":"1976","unstructured":"Welsh, D.: Matroid theory, Academic Press, London, 1976"},{"key":"BF02986684_CR21","doi-asserted-by":"crossref","first-page":"150","DOI":"10.2307\/2371086","volume":"54","author":"H Whitney","year":"1932","unstructured":"Whitney, H.: Congruent graphs and the connectivity of graphs, Amer. Math. J. 54, 150\u2013168(1932)","journal-title":"Math. J"},{"key":"BF02986684_CR22","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1090\/S0002-9947-1932-1501641-2","volume":"34","author":"H Whitney","year":"1932","unstructured":"Whitney, H.: Non-separable and planar graphs, Trans. Amer. Math. Soc. 34, 339\u2013362(1932)","journal-title":"Amer. Math. Soc"},{"key":"BF02986684_CR23","doi-asserted-by":"crossref","first-page":"245","DOI":"10.2307\/2371127","volume":"55","author":"H Whitney","year":"1933","unstructured":"Whitney, H.: 2-isomorphic graphs, Amer. Math. J. 55, 245\u2013254 (1933)","journal-title":"Math. J"},{"key":"BF02986684_CR24","first-page":"73","volume":"21","author":"H Whitney","year":"1933","unstructured":"Whitney, H.: Planar graphs, Fund. Math. 21, 73\u201384 (1933)","journal-title":"Math"}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02986684.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02986684\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02986684","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T19:48:45Z","timestamp":1558554525000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02986684"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,6]]},"references-count":24,"journal-issue":{"issue":"2-4","published-print":{"date-parts":[[1994,6]]}},"alternative-id":["BF02986684"],"URL":"https:\/\/doi.org\/10.1007\/bf02986684","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"value":"0911-0119","type":"print"},{"value":"1435-5914","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,6]]}}}